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Finding the Fourth Proportional to 5,354.47, 8,030.89 and 1,459.18

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Solution

The fourth proportional to 5,354.47, 8,030.89 and 1,459.18 is: 2,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.47 : 8,030.89 = 1,459.18 : x
  2. Step 2: Convert to fraction form
    5,354.47/8,030.89 = 1,459.18/x
  3. Step 3: Cross multiply
    5,354.47x = 8,030.89 × 1,459.18
  4. Step 4: Simplify right side
    5,354.47x = 11,718,514.07
  5. Step 5: Solve for x
    x = 11,718,514.07/5,354.47
  6. Step 6: Final answer
    x = 2,188.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.